386712225 has 135 divisors (see below), whose sum is σ = 790309443. Its totient is φ = 186896160.

The previous prime is 386712191. The next prime is 386712233. The reversal of 386712225 is 522217683.

The square root of 386712225 is 19665.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 139216401 + 247495824 = 11799^2 + 15732^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 386712225 - 2⁷ = 386712097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 386712225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16813564 + ... + 16813586.

Almost surely, 2^386712225 is an apocalyptic number.

386712225 is the 19665-th square number.

386712225 is the 9833-rd centered octagonal number.

It is an amenable number.

386712225 is an abundant number, since it is smaller than the sum of its proper divisors (403597218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

386712225 is a wasteful number, since it uses less digits than its factorization.

386712225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 50 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The cubic root of 386712225 is about 728.5554877877. Note that the first 3 decimals are identical.

Multiplying 386712225 by its sum of digits (36), we get a square (13921640100 = 117990²).

The spelling of 386712225 in words is "three hundred eighty-six million, seven hundred twelve thousand, two hundred twenty-five".